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Finding the Fourth Proportional to 534,852.32, 738,101.97 and 293,129.69

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Solution

The fourth proportional to 534,852.32, 738,101.97 and 293,129.69 is: 404,522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,852.32 : 738,101.97 = 293,129.69 : x
  2. Step 2: Convert to fraction form
    534,852.32/738,101.97 = 293,129.69/x
  3. Step 3: Cross multiply
    534,852.32x = 738,101.97 × 293,129.69
  4. Step 4: Simplify right side
    534,852.32x = 216,359,597,963.98
  5. Step 5: Solve for x
    x = 216,359,597,963.98/534,852.32
  6. Step 6: Final answer
    x = 404,522.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.